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Arithmetic Intersection Theory on Flag Varieties
Flag Varieties Arithmetic Intersection
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2015/12/17
Let F be the complete °ag variety over SpecZ with the tautological
ˉltration 0 ½ E1 ½ E2 ½ ￠ ￠ ￠ ½ En = E of the trivial bundle E of rank
n over F. The trivial hermitian metric o...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF SYMPLECTIC FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
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2015/12/17
Let X = Sp2n/B the flag variety of the symplectic group. We
propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF ORTHOGONAL FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
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2015/12/17
We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the
cohomology ring of the orthogonal flag variety X = SON...
Affine Deligne-Lusztig varieties in affine flag varieties
Affine Deligne-Lusztig flag varieties
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2015/9/29
This paper studies ane Deligne-Lusztig varieties in the ane
ag manifold of a split
group. Among other things, it proves emptiness for certain of these varieties, relates
some of them to those fo...
Classical aspects of quantum cohomology of generalized flag varieties
Gromov-Witten invariants Quantum cohomology Flag varieties
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2011/9/20
Abstract: We show that various genus zero Gromov-Witten invariants for flag varieties representing different homology classes are indeed the same. In particular, many of them are classical intersectio...
Shells of twisted flag varieties and non-decomposibility of the Rost invariant
Shells of twisted flag varieties non-decomposibility of the Rost invariant
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2011/1/20
In the present article we introduce two new general methods to compute the Chow motives of homogeneous varieties.
Double flag varieties for a symmetric pair and finiteness of orbits
Double flag varieties symmetric pair finiteness of orbits
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2010/12/14
Let G be a reductive algebraic group over the complex number filed, and K = G be the fixed points of an involutive automorphism of G so that (G,K) is a symmetric pair.